Rigidity of geometrically finite hyperbolic cone-manifolds

Kenneth Bromberg

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Rigidity of geometrically finite hyperbolic cone-manifolds

Kenneth Bromberg

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Abstract

In a recent paper Hodgson and Kerckhoff prove a local rigidity theorem for finite volume, three dimensional hyperbolic cone-manifolds. In this paper we extend this result to geometrically finite cone-manifolds. Our methods also give a new proof of a local version of the classical rigidity theorem for geometrically finite hyperbolic 3-manifolds.

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BibTeX RIS

Kenneth Bromberg. 2002-11-26. Rigidity of geometrically finite hyperbolic cone-manifolds. https://arxiv.org/abs/math/0009149

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